
Theorems
1)Use the remainder theorem and the factor theorem to determine whether (b+4) is a factor of (b^3 +3b^2  b+12)
A. The remainder is 0 and, therefore, (b+4) is a factor of (b^3 +3b^2  b+12)
B. The remainder is 0 and, therefore, (b+4) isn't a factor of (b^3 +3b^2  b+12)
C. The remainder isn't 0 and, therefore, (b+4) is a factor of (b^3 +3b^2  b+12)
D. The remainder isn't 0 and, therefore, (b+4) isn't a factor of (b^3 +3b^2  b+12)
2) Use the remainder theorem to determine the remainder the remainder when 3t^2 +5t 7 is divided by t5
3)Use the remainder theorem and the factor theorem to determine whether (c+5) is a factor of (c^4 +7c^3 +6c^2 18c+10)
A. The remainder is 0 and, therefore, (c+5) is a factor of (c^4 +7c^3 +6c^2 18c+10)
B. The remainder is 0 and, therefore, (c+5) isn't a factor of (c^4 +7c^3 +6c^2 18c+10)
C. The remainder isn't 0 and, therefore, (c+5) is a factor of (c^4 +7c^3 +6c^2 18c+10)
D. The remainder isn't 0 and, therefore, (c+5) isn't a factor of (c^4 +7c^3 +6c^2 18c+10)
